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There are 13 members in group A, 10 members in group B and 45 members in group C. All the members of these groups went to a restaurant. The average am
Question

There are 13 members in group A, 10 members in group B and 45 members in group C. All the members of these groups went to a restaurant. The average amount spent on each member of group A, B and C is Rs. 367, Rs. 112 and Rs. 401, respectively. The total average amount (in Rs. ) spent per member is:

A.

350

B.

354

C.

352

D.

355

Correct option is C

Given:

Group A: 13 members, average = Rs. 367

Group B: 10 members, average = Rs. 112

Group C: 45 members, average = Rs. 401

Formula Used:

Weighted average = Total amount spentTotal number of members\frac{\text{Total amount spent}}{\text{Total number of members}} 

Solution:

Total average = 13×367+10×112+45×40113+10+45 \frac{13 \times 367 + 10 \times 112 + 45 \times 401}{13 + 10 + 45} ​​

=4771+1120+1804568 =2393668 =352= \frac{4771 + 1120 + 18045}{68} \\ \ \\= \frac{23936}{68} \\ \ \\= 352 ​​

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